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5 votes
What is the rational number equivalent to 3.24 repeating?

2 Answers

4 votes
3 24/99 is the mixed number
321/99 is the fraction
User Bartosz Firyn
by
7.3k points
4 votes

Answer:

The rational number equivalent to 3.24 repeating is 321/99

Explanation:

To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:

n=3.24242424...

10n=32.4242424....

100n=324.2424242...

Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:

100n-n=324.24242424...-3.24242424... = 321

99n = 321

n = 321/99

User Dmitriy Ivanko
by
6.5k points
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